| \ High level floating point 14jan94py |
\ High level floating point 14jan94py |
| |
|
| \ Copyright (C) 1995 Free Software Foundation, Inc. |
\ Copyright (C) 1995,1997,2003,2004,2005,2006,2007 Free Software Foundation, Inc. |
| |
|
| \ This file is part of Gforth. |
\ This file is part of Gforth. |
| |
|
| \ Gforth is free software; you can redistribute it and/or |
\ Gforth is free software; you can redistribute it and/or |
| \ modify it under the terms of the GNU General Public License |
\ modify it under the terms of the GNU General Public License |
| \ as published by the Free Software Foundation; either version 2 |
\ as published by the Free Software Foundation, either version 3 |
| \ of the License, or (at your option) any later version. |
\ of the License, or (at your option) any later version. |
| |
|
| \ This program is distributed in the hope that it will be useful, |
\ This program is distributed in the hope that it will be useful, |
| \ GNU General Public License for more details. |
\ GNU General Public License for more details. |
| |
|
| \ You should have received a copy of the GNU General Public License |
\ You should have received a copy of the GNU General Public License |
| \ along with this program; if not, write to the Free Software |
\ along with this program. If not, see http://www.gnu.org/licenses/. |
| \ Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. |
|
| |
|
| \ 1 cells 4 = [IF] |
\ 1 cells 4 = [IF] |
| \ ' cells Alias sfloats |
\ ' cells Alias sfloats |
| \ [THEN] |
\ [THEN] |
| |
|
| : sfalign ( -- ) \ float-ext s-f-align |
: sfalign ( -- ) \ float-ext s-f-align |
| |
\G If the data-space pointer is not single-float-aligned, reserve |
| |
\G enough space to align it. |
| here dup sfaligned swap ?DO bl c, LOOP ; |
here dup sfaligned swap ?DO bl c, LOOP ; |
| : dfalign ( -- ) \ float-ext d-f-align |
: dfalign ( -- ) \ float-ext d-f-align |
| |
\G If the data-space pointer is not double-float-aligned, reserve |
| |
\G enough space to align it. |
| here dup dfaligned swap ?DO bl c, LOOP ; |
here dup dfaligned swap ?DO bl c, LOOP ; |
| |
|
| 1 sfloats constant sfloat+ ( sf-addr1 -- sf-addr2 ) \ float-ext s-float-plus |
(Field) sfloat+ ( sf-addr1 -- sf-addr2 ) \ float-ext s-float-plus |
| dofield: lastxt code-address! \ change the constant into a field |
\G @code{1 sfloats +}. |
| |
1 sfloats , |
| |
|
| |
(Field) dfloat+ ( df-addr1 -- df-addr2 ) \ float-ext d-float-plus |
| |
\G @code{1 dfloats +}. |
| |
1 dfloats , |
| |
|
| |
: f, ( f -- ) \ gforth |
| |
\G Reserve data space for one floating-point number and store |
| |
\G @i{f} in the space. |
| |
here 1 floats allot f! ; |
| |
|
| 1 dfloats constant dfloat+ ( df-addr1 -- df-addr2 ) \ float-ext d-float-plus |
: fconstant ( r "name" -- ) \ float f-constant |
| dofield: lastxt code-address! \ change the constant into a field |
|
| |
|
| : f, ( f -- ) here 1 floats allot f! ; |
|
| |
|
| : fconstant ( r -- ) \ float |
|
| Create f, |
Create f, |
| DOES> ( -- r ) |
DOES> ( -- r ) |
| f@ ; |
f@ ; |
| |
|
| : fdepth ( -- n ) f0 @ fp@ - [ 1 floats ] Literal / ; |
: fdepth ( -- +n ) \ float f-depth |
| |
\G @i{+n} is the current number of (floating-point) values on the |
| : FLit ( -- r ) r> dup f@ float+ >r ; |
\G floating-point stack. |
| : FLiteral ( r -- ) |
fp0 @ fp@ - [ 1 floats ] Literal / ; |
| BEGIN here cell+ dup faligned <> WHILE postpone noop REPEAT |
|
| postpone FLit f, ; immediate |
: FLiteral ( compilation r -- ; run-time -- r ) \ float f-literal |
| |
\G Compile appropriate code such that, at run-time, @i{r} is placed |
| &15 Value precision |
\G on the (floating-point) stack. Interpretation semantics are undefined. |
| : set-precision to precision ; |
BEGIN here cell+ cell+ dup faligned <> WHILE postpone noop REPEAT |
| |
postpone ahead here >r f, postpone then |
| |
r> postpone literal postpone f@ ; immediate |
| |
|
| |
&15 Value precision ( -- u ) \ float-ext |
| |
\G @i{u} is the number of significant digits currently used by |
| |
\G @code{F.} @code{FE.} and @code{FS.} |
| |
: set-precision ( u -- ) \ float-ext |
| |
\G Set the number of significant digits currently used by |
| |
\G @code{F.} @code{FE.} and @code{FS.} to @i{u}. |
| |
to precision ; |
| |
|
| : scratch ( r -- addr len ) |
: scratch ( r -- addr len ) |
| pad precision - precision ; |
pad precision - precision ; |
| IF 2drop scratch 3 min type rdrop EXIT THEN |
IF 2drop scratch 3 min type rdrop EXIT THEN |
| IF '- emit THEN ; |
IF '- emit THEN ; |
| |
|
| : f. ( r -- ) f$ dup >r 0< |
: f. ( r -- ) \ float-ext f-dot |
| |
\G Display (the floating-point number) @i{r} without exponent, |
| |
\G followed by a space. |
| |
f$ dup >r 0<= |
| IF '0 emit |
IF '0 emit |
| ELSE scratch r@ min type r@ precision - zeros THEN |
ELSE scratch r@ min type r@ precision - zeros THEN |
| '. emit r@ negate zeros |
'. emit r@ negate zeros |
| \ I'm afraid this does not really implement ansi semantics wrt precision. |
\ I'm afraid this does not really implement ansi semantics wrt precision. |
| \ Shouldn't precision indicate the number of places shown after the point? |
\ Shouldn't precision indicate the number of places shown after the point? |
| |
|
| : fe. ( r -- ) f$ 1- s>d 3 fm/mod 3 * >r 1+ >r |
\ Why do you think so? ANS Forth appears ambiguous on this point. -anton. |
| scratch r@ min type '. emit scratch r> /string type |
|
| |
: fe. ( r -- ) \ float-ext f-e-dot |
| |
\G Display @i{r} using engineering notation (with exponent dividable |
| |
\G by 3), followed by a space. |
| |
f$ 1- s>d 3 fm/mod 3 * >r 1+ >r |
| |
scratch r@ tuck min tuck - >r type r> zeros |
| |
'. emit scratch r> /string type |
| 'E emit r> . ; |
'E emit r> . ; |
| |
|
| : fs. ( r -- ) f$ 1- |
: fs. ( r -- ) \ float-ext f-s-dot |
| |
\G Display @i{r} using scientific notation (with exponent), followed |
| |
\G by a space. |
| |
f$ 1- |
| scratch over c@ emit '. emit 1 /string type |
scratch over c@ emit '. emit 1 /string type |
| 'E emit . ; |
'E emit . ; |
| |
|
| require debugging.fs |
: sfnumber ( c-addr u -- r true | false ) |
| |
2dup [CHAR] e scan ( c-addr u c-addr2 u2 ) |
| : sfnumber ( c-addr u -- r / ) |
|
| 2dup [CHAR] e scan |
|
| dup 0= |
dup 0= |
| IF |
IF |
| 2drop 2dup [CHAR] E scan |
2drop 2dup [CHAR] E scan ( c-addr u c-addr3 u3 ) |
| THEN |
THEN |
| nip |
nip |
| IF |
IF |
| 2dup >float |
>float |
| IF |
ELSE |
| 2drop state @ |
2drop false |
| |
THEN ; |
| |
|
| |
[ifundef] compiler-notfound1 |
| |
defer compiler-notfound1 |
| |
' no.extensions IS compiler-notfound1 |
| |
|
| |
:noname compiler-notfound1 execute ; is compiler-notfound |
| |
|
| |
defer interpreter-notfound1 |
| |
' no.extensions IS interpreter-notfound1 |
| |
|
| |
:noname interpreter-notfound1 execute ; is interpreter-notfound |
| |
[then] |
| |
|
| |
:noname ( c-addr u -- ... xt ) |
| |
2dup sfnumber |
| IF |
IF |
| POSTPONE FLiteral |
2drop [comp'] FLiteral |
| THEN |
ELSE |
| EXIT |
defers compiler-notfound1 |
| THEN |
ENDIF ; |
| THEN |
IS compiler-notfound1 |
| defers notfound ; |
|
| |
|
| ' sfnumber IS notfound |
:noname ( c-addr u -- ... xt ) |
| |
2dup sfnumber |
| |
IF |
| |
2drop ['] noop |
| |
ELSE |
| |
defers interpreter-notfound1 |
| |
ENDIF ; |
| |
IS interpreter-notfound1 |
| |
|
| : fvariable ( -- ) |
: fvariable ( "name" -- ) \ float f-variable |
| Create 0.0E0 f, ; |
Create 0.0E0 f, ; |
| \ does> ( -- f-addr ) |
\ does> ( -- f-addr ) |
| |
|
| 1.0e0 fasin 2.0e0 f* fconstant pi |
1.0e0 fasin 2.0e0 f* fconstant pi ( -- r ) \ gforth |
| |
\G @code{Fconstant} -- @i{r} is the value pi; the ratio of a circle's area |
| : f2* 2.0e0 f* ; |
\G to its diameter. |
| : f2/ 0.5e0 f* ; |
|
| : 1/f 1.0e0 fswap f/ ; |
: f2* ( r1 -- r2 ) \ gforth |
| |
\G Multiply @i{r1} by 2.0e0 |
| |
2.0e0 f* ; |
| |
|
| |
: f2/ ( r1 -- r2 ) \ gforth |
| |
\G Multiply @i{r1} by 0.5e0 |
| |
0.5e0 f* ; |
| |
|
| |
: 1/f ( r1 -- r2 ) \ gforth |
| |
\G Divide 1.0e0 by @i{r1}. |
| |
1.0e0 fswap f/ ; |
| |
|
| |
get-current environment-wordlist set-current |
| |
1.7976931348623157e308 FConstant max-float |
| |
set-current |
| |
|
| \ We now have primitives for these, so we need not define them |
\ We now have primitives for these, so we need not define them |
| |
|
| \ : facosh fdup fdup f* 1.0e0 f- fsqrt f+ fln ; |
\ : facosh fdup fdup f* 1.0e0 f- fsqrt f+ fln ; |
| \ : fasinh fdup fdup f* 1.0e0 f+ fsqrt f/ fatanh ; |
\ : fasinh fdup fdup f* 1.0e0 f+ fsqrt f/ fatanh ; |
| |
|
| \ !! factor out parts |
: f~abs ( r1 r2 r3 -- flag ) \ gforth |
| : f~ ( f1 f2 f3 -- flag ) \ float-ext |
\G Approximate equality with absolute error: |r1-r2|<r3. |
| |
frot frot f- fabs fswap f< ; |
| |
|
| |
: f~rel ( r1 r2 r3 -- flag ) \ gforth |
| |
\G Approximate equality with relative error: |r1-r2|<r3*|r1+r2|. |
| |
frot frot fover fabs fover fabs f+ frot frot |
| |
f- fabs frot frot f* f< ; |
| |
|
| |
: f~ ( r1 r2 r3 -- flag ) \ float-ext f-proximate |
| |
\G ANS Forth medley for comparing r1 and r2 for equality: r3>0: |
| |
\G @code{f~abs}; r3=0: bitwise comparison; r3<0: @code{fnegate f~rel}. |
| fdup f0= |
fdup f0= |
| IF |
IF \ bitwise comparison |
| fdrop f= EXIT |
fp@ float+ 1 floats over float+ over str= |
| |
fdrop fdrop fdrop |
| |
EXIT |
| THEN |
THEN |
| fdup f0> |
fdup f0> |
| IF |
IF |
| frot frot f- fabs fswap |
f~abs |
| ELSE |
ELSE |
| fnegate frot frot fover fabs fover fabs f+ frot frot |
fnegate f~rel |
| f- fabs frot frot f* |
THEN ; |
| THEN |
|
| f< ; |
\ proposals from Krishna Myeni in <cjsp2d$47l$1@ngspool-d02.news.aol.com> |
| |
\ not sure if they are a good idea |
| |
|
| : f.s ." <" fdepth 0 .r ." > " fdepth 0 max maxdepth-.s @ min dup 0 |
: FTRUNC ( r1 -- r2 ) |
| ?DO dup i - 1- floats fp@ + f@ f. LOOP drop ; |
\ round towards 0 |
| |
\ !! should be implemented properly |
| |
F>D D>F ; |
| |
|
| |
: FMOD ( r1 r2 -- r ) |
| |
\ remainder of r1/r2 |
| |
FOVER FOVER F/ ftrunc F* F- ; |